2 papers
math.FA2019
Polynomial Valuations on Vector Lattices
Gerard Buskes, Stephan Roberts
We prove that polynomial valuations on vector lattices correspond to orthosymmetric multilinear maps. As a consequence we obtain a concise proof of the equivalence of orthosymmetry…
math.FA2018
Characterizing Bounded Orthogonally Additive Polynomials on Vector Lattices
Gerard Buskes, Christopher Schwanke
We derive formulas for characterizing bounded orthogonally additive polynomials in two ways. Firstly, we prove that certain formulas for orthogonally additive polynomials derived i…